In [1]} Uchino observed that a relative Rota-Baxter operator lifts to a Rota-Baxter operator on the semidirect product algebra. More precisely, let \(A\)  be an associative algebra and \(M\)  be an \(A\) -bimodule. Consider the semidirect product algebra structure on \(A \oplus M\)  with the product
\((a,m) \cdot _\ltimes (a^{\prime }, m^{\prime }) = (a \cdot a^{\prime }, ~a \cdot _M m^{\prime } + m \cdot _M a^{\prime }), \text{ for } (a,m), (a^{\prime }, m^{\prime }) \in A \oplus M.\) 
